Answer: or 13%
Step-by-step explanation:
Suppose Jordan buys five notebooks with a unit rate of $3 and five packages of pens with a unit rate of $1. Which of the expressions below represent Jordan's purchases?
Answer:
Jordan's purchase was $20
Step-by-step explanation:
3x5=15 5x1=5 5+15=20
Use the given x and y values to write a direct variation
equation.
x = 2, y = 30
Answer:
y = 15x
Step-by-step explanation:
Given x and y are in direct variation then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 2, y = 30, then
30 = 2k ( divide both sides by 2 )
15 = k
y = 15x ← equation of variation
What is 5 divided by 3/4?
Answer:
20/3 or 6 2/3
Step-by-step explanation:
to divide fractions, you flip the second fraction then multiply across.
5=5/1
5/1divided by 3/4
change to 5/1 x 4/3
multiply across
answer is 20/3 or 6 and 2/3
Find the new price for the markup given. Round to the nearest cent If necessary. 3.00 marked up 72%
Answer:
33%
Step-by-step explanation
its a throw off question stay sharp
A light bulb is designed by revolving the graph of:
[tex]y = \frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}[/tex]
Over the interval 0 ≤ x ≤ 1/3 about the x-axis, where x and y are measured in feet. Find the surface area of the bulb and use the result to approximate the amount of glass needed to make the bulb. (Glass is 0.015 inch thick).
Answer:
[tex]\displaystyle 0.251327 \ in. \ of \ glass[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)FactoringCalculus
Differentiation
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
Integration Property: [tex]\displaystyle \int\limits^a_b {cf(x)} \, dx = c \int\limits^a_b {f(x)} \, dx[/tex]Fundamental Theorem of Calculus: [tex]\displaystyle \int\limits^a_b {f(x)} \, dx = F(b) - F(a)[/tex]Area between Two CurvesVolumes of RevolutionArc Length Formula: [tex]\displaystyle AL = \int\limits^a_b {\sqrt{1+ [f'(x)]^2}} \, dx[/tex]Surface Area Formula: [tex]\displaystyle SA = 2\pi \int\limits^a_b {f(x) \sqrt{1+ [f'(x)]^2}} \, dx[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}\\Interval: [0, \frac{1}{3}][/tex]
Step 2: Differentiate
Basic Power Rule: [tex]\displaystyle y' = \frac{1}{2} \cdot \frac{1}{3}x^{\frac{1}{2} - 1} - \frac{3}{2} \cdot x^{\frac{3}{2} - 1}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{1}{6}x^{\frac{-1}{2}} - \frac{3}{2}x^{\frac{1}{2}}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{1}{6\sqrt{x}} - \frac{3\sqrt{x}}{2}}[/tex]Step 3: Integrate Pt. 1
Substitute [Surface Area]: [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{1+ [\frac{1}{6\sqrt{x}} - \frac{3\sqrt{x}}{2}}]^2}} \, dx[/tex][Integral - √Radical] Expand/Add: [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{\frac{81x^2+18x+1}{36x}} \, dx[/tex][Integral - √Radical] Factor: [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{\frac{(9x + 1)^2}{36x}} \, dx[/tex][Integral - Simplify]: [tex]\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {-\frac{|9x + 1|(3x - 1)}{18}} \, dx[/tex][Integral] Integration Property: [tex]\displaystyle SA = \frac{- \pi}{9} \int\limits^{\frac{1}{3}}_0 {|9x + 1|(3x - 1)} \, dx[/tex]Step 4: Integrate Pt. 2
[Integral] Define: [tex]\displaystyle \int {|9x + 1|(3x - 1)} \, dx[/tex][Integral] Assumption of Positive/Correction Factors: [tex]\displaystyle \frac{9x + 1}{|9x + 1|} \int {(9x + 1)(3x - 1)} \, dx[/tex][Integral] Expand - FOIL: [tex]\displaystyle \frac{9x + 1}{|9x + 1|} \int {27x^2 - 6x - 1} \, dx[/tex][Integral] Integrate - Basic Power Rule: [tex]\displaystyle \frac{9x + 1}{|9x + 1|} (9x^3 - 3x^2 - x)[/tex][Expression] Multiply: [tex]\displaystyle \frac{(9x + 1)(9x^3 - 3x^2 - x)}{|9x + 1|}[/tex]Step 5: Integrate Pt. 3
[Integral] Substitute/Integral - FTC: [tex]\displaystyle SA = \frac{- \pi}{9} (\frac{(9x + 1)(9x^3 - 3x^2 - x)}{|9x + 1|})|\limits_{0}^{\frac{1}{3}}[/tex][Integrate] Evaluate FTC: [tex]\displaystyle SA = \frac{- \pi}{9} (\frac{-1}{3})[/tex][Expression] Multiply: [tex]\displaystyle SA = \frac{\pi}{27} \ ft^2[/tex]It is in ft² because it is given that our axis are in ft.
Step 6: Find Amount of Glass
Convert ft² to in² and multiply by 0.015 in (given) to find amount of glass.
Convert ft² to in²: [tex]\displaystyle \frac{\pi}{27} \ ft^2 \ \div 144 \ in^2/ft^2 = \frac{16 \pi}{3} \ in^2[/tex]Multiply: [tex]\displaystyle \frac{16 \pi}{3} \ in^2 \cdot 0.015 \ in = 0.251327 \ in. \ of \ glass[/tex]And we have our final answer! Hope this helped on your Calc BC journey!
Share £160 in the ratio 1:9
Answer:
let ratio be x and9x
x +9 x=£160
x=£160/10
x=£16
9x=£16×9=£144
Answer:
16 and 144
Step-by-step explanation:
Breaking 160 into 1+9 = 10 parts
1 part would be 16
the rest would be 9 parts = 160 - 16 =144
I need help asap, please
Answer:
yous math symblom
Step-by-step explanation:
its a good website for that
Answer:
x = -6
Step-by-step explanation:
4(x-6)+4=6x-8
Multiply by four in parenthesis.
4x-20=6x-8
Add 20 on both sides.
4x=6x+12
Subtract 6.
-2x=12
Divide -2
z = -6
:)
Convert: 1000 g = __ kg
Answer: 1000 G= 1kg
Step-by-step explanation:
Answer:
1000 g=1 kg
5000 mm = 5 m
Step-by-step explanation:
Compute (4803) • 95. *
Answer:
456,285
zzzzzzzzzzzzzzzzzzzzz
Help pls easy points 20
Answer:
ahhhhhhhhhhhhhhhhh
Step-by-step explanation:
The floor of a rectangular shed is 12 ft by 14 ft.
What is the area of the floor in square feet?
Answer:
Step-by-step explanation:
S=a*b=12*14=168feet²
HELP PLEASE
The value of h, to the nearest hundredth, is ...
Answer:
50.19
Step-by-step explanation:
quick mafs hun <3
the store offers a 40% discount the regular price of a t-shirt is 22 what is the discount price?
Answer:
$8.80
Step-by-step explanation:
So because [tex]40\% = .4[/tex], then the equation is [tex].4 \times 22[/tex] which equals [tex]8.8[/tex], or $8.80.
x-3y=7
2х-6у=12
Solve the following systems
Answer:
Step-by-step explanation:
this system doesnt have any solutions
if you multiply the first equation by 2 you will get
2x-6y=14
second equation is
2x-6y=12
the result will -12=14
no solutions
what is the slope of 2y + 8x = 20
Answer:
y=4x+10
Step-by-step explanation:
2y-8x-20=0
2y-8x=0+20
2y-8x=20
2y=8x+20
y=4x+10
Hope this will help!!:)
Which equation represents the line that passes through
the points (2, 3) and (4, 7)?
Answer:
Step-by-step explanation:
(7 - 3)/(4 - 2) = 4/2 = 2
y - 3 = 2(x - 2)
y - 3 = 2x - 4
y = 2x - 1
How you Can find the area of a composite figure?
Answer:
Here are the steps to find the area of a composite figure.
1. Split the composite figure into simpler shapes.
2. Find the area of each of the simpler shapes.
3. Add the area of all the simpler shapes together.
4. You'll have the area of the composite figure.
Let me know if this helps!
Can someone please help me with this!! ASAP
Answer:
The bbn vxcndzx Decide which item would best check the reliability of each statement.
Bvdfiuxjgiodfjcgkfmctgihnrdtjfk,m viufihjmgjkhyntfuvibjkhmgutjfyh,jmtifg
This book was written by a prominent banker in England.
check author's background
check copyright date
check another referenceb
Step-by-step explanation:
Which is greater, 24 or - 25
Answer:
24
Step-by-step explanation:
its positive
Answer:
-25 ∠ 24
Step-by-step explanation:
−214=r−45
Help
Asp
Plz
Answer:
-169
Step-by-step explanation: add 45 on both sides
Answer:
r=-169
Step-by-step explanation:
I hope it helped bro
1d - 2) = 6
4
What is the value of d + 3?
Step-by-step explanation:
6 c. 2 d. 6 e. a2 + 2a + 3 f. (x + h)2 + 2(x + h) + 3 9. a. 2 b. 0 c. 65/4 d. x2 + 1/x e. (s + h)2 + 1/(s +
Is (3, 2) a solution to the equation y = X?
Yes or No ?
Answer:
no
Step-by-step explanation:
Answer:
the answer is no
Step-by-step explanation:
Hannah takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the length of the cut is 12inches and the paper is 8 inches long, what is the width of the sheet of paper (nearest tenth)?
The triangles are similar.
What is the value of x?
Enter your answer in the box
x=
Answer:
Since the corresponding sides of similar triangles are proportional,
[tex]\frac{x}{7} =\frac{75}{25} \\or, x = \frac{75(7)}{25}\\or, x = 21[/tex]
The side lengths of a triangle are 5,√3,√28. Is the triangle a right triangle? How would I solve this?
Answer:
it is a right triangle.
Step-by-step explanation:
you would solve by using pythagorean theorem. Firstly you would find the square roots. Then write the pythagorean theorem out replacing the variables with the corresponding numbers. All you do for this is find the greatest number and that is c. Lastly you would add the square roots of a and b, if this equals 28 then they are equal. Ask more questions if I did not explain this clearly.
HELP PLEASE!!
Helen rolls a dice and flips a coin.
Calculate the probability that she gets a 4 and a tail.
Answer:
Step-by-step explanation:
The probability of getting a 4 is 1/6, the probability of getting a tails is 1/2. Add the two together 8/12. I don't know if its right but hopefully it helped.
Because of prevailing winds, a tree grew so that it was leaning 6º from the vertical. At a point d = 37 meters from the tree, the angle of elevation to the top of the trees
is a = 29° (see figure). Find the height h of the tree. (Round your answer to one decimal place.)
h =
m
d m
Additional Materials
eBook
Answer:
Height of the tree is 40.0 meters.
Step-by-step explanation:
From ΔABC,
m∠ABC = 90°
Since, m∠ABC = m∠CBD + m∠ABD
90° = 6° + m∠ABD
m∠ABD = 90°- 6° = 84°
By triangle sum theorem in ΔABD,
m∠ABD + m∠BDA + m∠DAB = 180°
84° + 29° + m∠BDA = 180°
m∠BDA = 180° - 113°
= 67°
By sine rule in ΔABD,
[tex]\frac{\text{sin}(\angle BDA)}{d}= \frac{\text{sin}(\angle ABD)}{h}[/tex]
[tex]\frac{\text{sin}(67)}{37}= \frac{\text{sin}(84)}{h}[/tex]
h = [tex]\frac{\text{sin}(84)\times 37}{\text{sin}(67)}[/tex]
h = 39.98
h ≈ 40.0 meters
Therefore, height of the tree is 40.0 meters.
The sine rule is the ratio of the side length to the sine of the opposite angles. Then the height of the tree is 40 meters.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a triangle.
Because of prevailing winds, a tree grew so that it was leaning 6º from the vertical.
At a point d = 37 meters from the tree, the angle of elevation to the top of the trees is a = 29° (see figure).
∠ABC = 90
We have
In ΔABC
∠ABC = ∠CBD + ∠ABD
∠ABD = 90 - 6
∠ABD = 84
By triangle sum in ΔABD, we have
∠ABD + ∠BDA + ∠DAB = 180
∠BDA = 180 - 84 - 29
∠BDA = 67
Then by the sine rule, we have
[tex]\begin{aligned} \dfrac{\sin \angle BDA}{d} &= \dfrac{ \sin \angle ABD }{h}\\\\\dfrac{\sin 67}{37} &= \dfrac{\sin 84}{h}\\\\h &= \dfrac{\sin 84} \times 37{\sin 67}\\\\h &= 39.98 \approx 40 \end{aligned}[/tex]
More about the trigonometry link is given below.
https://brainly.com/question/22698523
Help please i dont get it
Answer:
3.51
Step-by-step explanation:
yes
Answer:
3.28
Step-by-step explanation:
If you answer both of these i will give
Brainliest ( if thats how you spell it )
Answer:
first one:4/10
second one: 8/24
Step-by-step explanation:
i think this works but a hundred 100% sure though.
here you go hope its correct.
Bobby had a box of berry flavored hard candies. Fifteen candies were strawberry flavored, twelve candies were blueberry flavored, and thirteen candies were raspberry flavored. Bobby picked one candy from the box without looking. What is the probability, written as a percent, that the candy he picked was not raspberry flavored?
15 strawberry
12 blueberry
13 raspberry
27/40